UCSF 137 Lecture 15: UCSF 137 - Lecture 15 (1)

Evaluate h(10), where h-(g。 f(z) =-1 :g(x) =2+9 r -9 h(10)- 0-11 points TanApCalcB 92.2.046 Find fa + h)-fa) for the function. Simplify your answer. f(z) = 2-11x +9 (a + h) - fa) -

Post r 06 K 23 O 39.5J O 39.5J O -0.395J O 0.395 J

6. Suppose that R is a finite commutative ring with unity and let a E R with a 0. Define the map fa : R- R by fa(x)a (i) Show that if a is NOT a zero-divisor, then fa is one-to-one. (ii) Deduce from (i) and the fact that R is finite that a MUST be a unit in R. (ii) State the result that (i) and (ii) have just established.